Anomalies and Analytic Torsion on Hyperbolic Manifolds
High Energy Physics - Theory
2015-06-26 v1
Abstract
The global additive and multiplicative properties of the Laplacian on j-forms and related zeta functions are analyzed. The explicit form of zeta functions on a product of closed oriented hyperbolic manifolds \Gamma\backslash{\Bbb H}^d and of the multiplicative anomaly are derived. We also calculate in an explicit form the analytic torsion associated with a connected sum of such manifolds.
Keywords
Cite
@article{arxiv.hep-th/9901054,
title = {Anomalies and Analytic Torsion on Hyperbolic Manifolds},
author = {A. A. Bytsenko and A. E. Goncalves and M. Simoes and F. L. Williams},
journal= {arXiv preprint arXiv:hep-th/9901054},
year = {2015}
}
Comments
AMSTeX file, 20 pages